Question

What is the smallest number by which 256 may be divided so that the quotient is perfect cube?

(A) 2 (B) 3 (C) 4

Help!

Answer 1

Answer: 4

Step-by-step explanation:

The prime factorisation is 2x2x2x2x2x2x2x2

We have to make triplets of the prime factorisation which gives us:

(2x2x2)x(2x2x2)x2x2

2x2 is left so we divide 256 by 2x2 which equals 4

let's try to divide 256 by 4:

256/4 = 64

The cube root of 64 is 4

64 = (4)³ so it makes a perfect cube

Answer 2

It is 3 have a nice day.